Skip to main content
SpringerLink
Log in

Aspects of some Rastall cosmologies

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

Rastall gravity paradigm producing mechanism for realizing singular and non-singular cosmologies has been investigated. A solution in Rastall gravity with flat spatial sections which exhibits constant deceleration parameter has been obtained. The study of bouncing scenario in Rastall gravity infers that this scenario may satisfy an affine equation of state during the bounce. Moreover, the physical, kinematic and thermodynamic aspects of the model are discussed in detail. Furthermore, the Raychaudhuri-like equation and other field equations for homogeneous and anisotropic metrics are also derived.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. S. Perlmutter et al., Astrophys. J. 517, 565 (1999)

    ADS  Google Scholar 

  2. A.G. Riess et al., Astron. J. 116, 1009 (1999)

    ADS  Google Scholar 

  3. K. Bamba, S. Capozziello, S. Nojiri, S.D. Odintsov, Astrophys. Space Sci. 342, 155 (2012)

    ADS  Google Scholar 

  4. S. Capozziello, R. D’Agostino, O. Luongo, Int. J. Mod. Phys. D 28, 1930016 (2019)

    ADS  Google Scholar 

  5. C.M. Will, Theory and Experiments in Gravitational Physics (Cambridge University Press, U.K., 2018)

    MATH  Google Scholar 

  6. A.H. Guth, Phys. Rev. D 23, 347 (1981)

    ADS  Google Scholar 

  7. A. Linde, Phys. Lett. B 108, 389 (1982)

    ADS  Google Scholar 

  8. A. Borde, A. Vilenkin, Int. J. Mod. Phys. D 5, 813 (1996)

    ADS  Google Scholar 

  9. R.C. Tolman, Phys. Rev. 38, 1758 (1931)

    ADS  Google Scholar 

  10. C. Molina-Paris, M. Visser, Phys. Lett. B 455, 90 (1999)

    ADS  MathSciNet  Google Scholar 

  11. D. Solomons, P.K.S. Dunsby, G.F.R. Ellis, Class. Quantum Grav. 23, 6585 (2006)

    Google Scholar 

  12. G. Gibbons, arXiv:hep-th/0302199

  13. J. Khoury et al., Phys. Rev. D 64, 123522 (2001)

    ADS  MathSciNet  Google Scholar 

  14. P. Singh, A. Toporensky, Phys. Rev. D 69, 104008 (2004)

    ADS  Google Scholar 

  15. M. Novello, S.E.P. Bergliaffa, Phys. Rep. 463, 127 (2008)

    ADS  MathSciNet  Google Scholar 

  16. R. Brandenberger, P. Peter, Found. Phys. 47, 797 (2017)

    ADS  MathSciNet  Google Scholar 

  17. T. Singh, R. Chaubey, A. Singh, Can. J. Phys. 94, 623 (2016)

    ADS  Google Scholar 

  18. A. Singh, R. Raushan, R. Chaubey, T. Singh, Int. J. Mod. Phys. A 33, 1850213 (2018)

    ADS  Google Scholar 

  19. G. Minas, E.N. Saridakis, P.C. Stavrinos, A. Triantafyllopoulos, Universe 5, 74 (2019)

    ADS  Google Scholar 

  20. I. Brevik, A.V. Timoshkin, Int. J. Geom. Methods Mod. Phys. 17, 2050023 (2020)

    MathSciNet  Google Scholar 

  21. P. Rastall, Phys. Rev. D 6, 3357 (1972)

    ADS  MathSciNet  Google Scholar 

  22. M. Capone et al., J. Phys. Conf. Ser. 222, 012012 (2010)

    Google Scholar 

  23. L.L. Smalley, Nuovo Cimento B 80, 42 (1984)

    ADS  Google Scholar 

  24. G.W. Gibbons, S.W. Hawking, Phys. Rev. D 15, 2738 (1977)

    ADS  MathSciNet  Google Scholar 

  25. L.H. Ford, Phys. Rev. D 35, 2955 (1987)

    ADS  Google Scholar 

  26. C.E.M. Batista, M.H. Daouda, J.C. Fabris, O.F. Piattella, D.C. Rodrigues, Phys. Rev. D 85, 084008 (2012)

    ADS  Google Scholar 

  27. M. Visser, Phys. Lett. B 782, 83 (2018)

    ADS  Google Scholar 

  28. F. Darabi, H. Moradpour, I. Licata, Y. Heydarzade, C. Corda, Eur. Phys. J. C 78, 25 (2018)

    ADS  Google Scholar 

  29. H. Moradpour, Y. Heydarzade, F. Darabi et al., Eur. Phys. J. C 77, 259 (2017)

    ADS  Google Scholar 

  30. W. Khyllep, J. Dutta, Phys. Lett. B 797, 134796 (2019)

    MathSciNet  Google Scholar 

  31. G.F. Silva, O.F. Piattella, J.C. Fabris, L. Casarini, T.O. Barbosa, Gravit. Cosmol. 19, 156 (2013)

    ADS  MathSciNet  Google Scholar 

  32. F.-F. Yuan, P. Huang, Class. Quantum Grav. 34, 077001 (2017)

    ADS  Google Scholar 

  33. F. Darabi, K. Atazadeh, Y. Heydarzade, Eur. Phys. J. Plus 133, 249 (2018)

    Google Scholar 

  34. D. Das, S. Dutta, S. Chakraborty, Eur. Phys. J. C 78, 810 (2018)

    ADS  Google Scholar 

  35. M. Cruz, S. Lepe, G. Morales-Navarrete, Class. Quantum Grav. 36, 225007 (2019)

    ADS  Google Scholar 

  36. J.C. Fabris, M.H. Daouda, O.F. Piattella, Phys. Lett. B 711, 232 (2012)

    ADS  Google Scholar 

  37. W.A.G. De Moraes, A.F. Santos, Gen. Relativ. Grav. 51, 167 (2019)

    ADS  Google Scholar 

  38. H. Shabani, A.H. Ziaie, EPL 129, 20004 (2020)

    ADS  Google Scholar 

  39. T. Singh, R. Chaubey, A. Singh, Eur. Phys. J. Plus 130, 31 (2015)

    Google Scholar 

  40. M. Visser, Science 276, 88 (1997)

    ADS  Google Scholar 

  41. A. Singh, Astrophys. Space Sci. 365, 54 (2020)

    ADS  Google Scholar 

  42. S. Nojiri, S.D. Odintsov, S. Tsujikawa, Phys. Rev. D 71, 063004 (2005)

    ADS  Google Scholar 

  43. A.H. Ziaie, H. Moradpour, S. Ghaffari, Phys. Lett. B. 793, 276 (2019)

    ADS  MathSciNet  Google Scholar 

  44. M.S. Berman, Nuovo Cimento 74, 182 (1983)

    Google Scholar 

  45. V.B. Johri, K. Desikan, Gen. Relativ. Grav. 12, 1217 (1994)

    ADS  Google Scholar 

  46. R. Li, J. Wang, Z. Xu, X. Guo, Mon. Not. R. Astron. Soc. 486, 2407 (2019)

    ADS  Google Scholar 

  47. K. Bamba, A.N. Makarenko, A.N. Myagsky, S. Nojiri, S.D. Odintsov, JCAP 01, 008 (2014)

    ADS  Google Scholar 

  48. T. Singh, R. Chaubey, A. Singh, Astrophys. Space Sci. 361, 106 (2016)

    ADS  Google Scholar 

  49. O. Akarsu, N. Katirchi, S. Kumar, R.C. Nunes, B. Ozturk, S Sharma, arXiv:2004.04074v2

  50. J.K. Erickson, D.H. Wesley, P.J. Steinhardt, N. Turok, Phys. Rev. D 69, 063514 (2004)

    ADS  MathSciNet  Google Scholar 

  51. D. Garfinkle, W.C. Lim, F. Pretorius, P.J. Steinhardt, Phys. Rev. D 78, 083537 (2008)

    ADS  MathSciNet  Google Scholar 

  52. Y.F. Cai, D.A. Easson, R. Brandenberger, JCAP 08, 020 (2012)

    ADS  Google Scholar 

  53. E. Babichev, V. Dokachaev, Y. Eroshenko, Class. Quantum Grav. 22, 143 (2005)

    ADS  Google Scholar 

  54. T. Jacobson, Phys. Rev. Lett. 75, 1260 (1995)

    ADS  MathSciNet  Google Scholar 

  55. M. Jamil, E.N. Saridakis, M.R. Setare, Phys. Rev. D 81, 023007 (2010)

    ADS  Google Scholar 

  56. M. Akbar, R.G. Cai, Phys. Rev. D 75, 084003 (2007)

    ADS  Google Scholar 

  57. D. Bak, S.J. Rey, Class. Quantum Grav. 17, L83 (2000)

    Google Scholar 

  58. J. Zhou, B. Wang, Y. Gong, E. Abdalla, Phys. Lett. B 652, 86 (2007)

    ADS  MathSciNet  Google Scholar 

  59. K. Bamba, C.-Q. Geng, JCAP 11, 008 (2010)

    ADS  Google Scholar 

  60. A. Pourbagher, A. Amani, Astrophys. Space Sci. 364, 140 (2019)

    ADS  Google Scholar 

  61. A. Pourbagher, A. Amani, Mod. Phys. Lett. A 35, 2050166 (2020)

    ADS  Google Scholar 

  62. K. Bamba, A. Jawad, S. Rafique, H. Moradpour, Eur. Phys. J. C 78, 986 (2018)

    ADS  Google Scholar 

  63. D.W. Tian, I. Booth, Phys. Rev. D 92, 024001 (2015)

    ADS  MathSciNet  Google Scholar 

  64. A. Jawad, S. Rani, M.H. Hussain, Phys. Dark Univ. 27, 100409 (2020)

    Google Scholar 

  65. P.C. Ferreira, D. Pavon, Eur. Phys. J. C 76, 37 (2016)

    ADS  Google Scholar 

  66. A. Singh, A.K. Shukla, Int. J. Mod. Phys. A 35, 2050054 (2020)

    ADS  Google Scholar 

  67. G.P. Singh, N. Hulke, A. Singh, Int. J. Geom. Methods Mod. Phys. 15, 1850129 (2018)

    MathSciNet  Google Scholar 

  68. S. Chakraborty, N. Mazumder, R. Biswas, EPL 91, 40007 (2010)

    ADS  Google Scholar 

  69. H. Moradpour, I.G. Salako, Adv. High Energy Phys. 2016, 3492796 (2016)

    Google Scholar 

  70. R.G. Cai, L.M. Cao, Y.P. Hu, Class. Quantum Grav. 26, 155018 (2009)

    ADS  Google Scholar 

  71. R. Bousso, Phys. Rev. D 71, 064024 (2005)

    ADS  MathSciNet  Google Scholar 

  72. N. Dadhich, arXiv:gr-qc/0511123v2 (2005)

  73. J. Wainright, G.F.R. Ellis, Dynamical Systems in Cosmology (Cambridge University Press, Cambridge, 1997)

    Google Scholar 

  74. M. Bruni, C.F. Sopuerta, Class. Quantum Grav. 20, 5275 (2003)

    ADS  Google Scholar 

  75. V. Bozza, M. Bruni, JCAP 10, 014 (2009)

    ADS  Google Scholar 

  76. K. Bamba, G.G.L. Nashed, W. El Hanafy, ShK Ibraheem, Phys. Rev. D 94, 083513 (2016)

    ADS  MathSciNet  Google Scholar 

  77. T. Singh, R. Chaubey, A. Singh, Int. J. Mod. Phys. A 30, 1550073 (2015)

  78. I.G. Salako, A. Jawad, Astrophys. Space Sci. 359, 46 (2015)

    ADS  Google Scholar 

  79. T. Bandyopadhyay, U. Debnath, Can. J. Phys. 97, 286 (2019)

    ADS  Google Scholar 

  80. R. Raushan, A. Singh, R. Chaubey, T. Singh, Int. J. Geom. Methods Mod. Phys. 17, 2050064 (2020)

    MathSciNet  Google Scholar 

Download references

Acknowledgements

We are very thankful to the anonymous learned reviewer for insightful and interesting comments, which have been helpful in improvement of the manuscript.

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, India

    Ashutosh Singh & Krishna C. Mishra

Authors
  1. Ashutosh Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Krishna C. Mishra
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ashutosh Singh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, A., Mishra, K.C. Aspects of some Rastall cosmologies. Eur. Phys. J. Plus 135, 752 (2020). https://doi.org/10.1140/epjp/s13360-020-00783-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-020-00783-0

Pacs Nos

Search

Navigation